Solid hulls of weighted Banach spaces of entire functions

被引：8

作者：

Bonet, Jose ^{[1
]}

Taskinen, Jari ^{[2
]}

机构：

[1] Univ Politecn Valencia, IUMPA, E-46071 Valencia, Spain

[2] Univ Helsinki, Dept Math & Stat, POB 68, FIN-00014 Helsinki, Finland

来源：

REVISTA MATEMATICA IBEROAMERICANA | 2018年 / 34卷 / 02期

关键词：

Weighted Banach spaces of entire functions; Taylor coefficients; solid hull; solid core; HOLOMORPHIC-FUNCTIONS; ANALYTIC-FUNCTIONS; COEFFICIENT MULTIPLIERS; FOCK SPACES; OPERATORS; BERGMAN; BLOCH;

D O I：

10.4171/RMI/996

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a continuous, radial, rapidly decreasing weight v on the complex plane, we study the solid hull of its associated weighted space H-v(infinity)(C) of all the entire functions f such that v vertical bar f vertical bar is bounded. The solid hull is found for a large class of weights satisfying the condition ( B) of Lusky. Precise formulations are obtained for weights of the form v( r) = exp(-ar(p)), a > 0, p > 0. Applications to spaces of multipliers are included.

引用

页码：593 / 608

页数：16

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